Congruences, ideals and annihilators in standard QBCC-algebras

Radomír Halaš; Luboš Plojhar

Open Mathematics (2005)

  • Volume: 3, Issue: 1, page 83-97
  • ISSN: 2391-5455

Abstract

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We characterize congruence lattices of standard QBCC-algebras and their connection with the congruence lattices of congruence kernels.

How to cite

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Radomír Halaš, and Luboš Plojhar. "Congruences, ideals and annihilators in standard QBCC-algebras." Open Mathematics 3.1 (2005): 83-97. <http://eudml.org/doc/268853>.

@article{RadomírHalaš2005,
abstract = {We characterize congruence lattices of standard QBCC-algebras and their connection with the congruence lattices of congruence kernels.},
author = {Radomír Halaš, Luboš Plojhar},
journal = {Open Mathematics},
keywords = {06F35; 06A11; 03G25},
language = {eng},
number = {1},
pages = {83-97},
title = {Congruences, ideals and annihilators in standard QBCC-algebras},
url = {http://eudml.org/doc/268853},
volume = {3},
year = {2005},
}

TY - JOUR
AU - Radomír Halaš
AU - Luboš Plojhar
TI - Congruences, ideals and annihilators in standard QBCC-algebras
JO - Open Mathematics
PY - 2005
VL - 3
IS - 1
SP - 83
EP - 97
AB - We characterize congruence lattices of standard QBCC-algebras and their connection with the congruence lattices of congruence kernels.
LA - eng
KW - 06F35; 06A11; 03G25
UR - http://eudml.org/doc/268853
ER -

References

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  7. [7] R. Halaš and J. Ort: “Standard QBCC-algebras”, Demonstratio Math., Vol. 36(1), (2003), pp. 1–10. Zbl1032.06009
  8. [8] R. Halaš and J. Ort: “QBCC-algebras inherited from qosets”, Math. Slovaca, Vol. 53(4), (2003), pp. 331–340. Zbl1072.06018
  9. [9] Y. Imai and K. Iséki: “On axiomatic system of propositional calculi”, XIV. Proc. Japan Acad., Vol. 42, (1966), pp. 19–22. http://dx.doi.org/10.3792/pja/1195522169 
  10. [10] Y. Komori: “The class of BCC-algebras is not a variety”, Math. Japon., Vol. 29, (1984), pp. 391–394. Zbl0553.03046
  11. [11] A. Wroński: “An algebraic motivation for BCK-algebras”, Math. Japon., Vol. 30, (1985), pp. 183–193. Zbl0569.03029
  12. [12] A. Wroński: “BCK-algebras do not form a variety”, Math. Japon., Vol. 28, (1983), pp. 211–213. Zbl0518.06014

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